Find the product. Assume all variable exponents represent whole numbers.
-$$( p - q ) \left( p ^ { 2 } + p q + q ^ { 2 } \right)$$
A) $p ^ { 3 } - q ^ { 3 }$
B) $p ^ { 3 } - 2 p ^ { 2 } q - 2 p q ^ { 2 } - q ^ { 3 }$
C) $p ^ { 3 } + 2 p ^ { 2 } q + 2 p q ^ { 2 } - q ^ { 3 }$
D) $\mathrm { p } ^ { 3 } + \mathrm { q } ^ { 3 }$

Question

Quizplus · Accepted Answer

This is an application of the formula for the difference of cubes, $a^3 - b^3 = (a - b)(a^2 + ab + b^2)$, where $a = p$ and $b = q$.

Find the Product (p−q)(p2+pq+q2)( p - q ) \left( p ^ { 2 } + p q + q ^ { 2 } \right)(p−q)(p2+pq+q2)

Find the Product $( p - q ) \left( p ^ { 2 } + p q + q ^ { 2 } \right)$